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Finding the Third Proportional to 99,743 and 218,563

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Solution

The third proportional to 99,743 and 218,563 is: 478,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,743 : 218,563 = 218,563 : x
  2. Step 2: Convert to fraction form
    99,743/218,563 = 218,563/x
  3. Step 3: Cross multiply
    99,743x = 218,563 × 218,563
  4. Step 4: Simplify right side
    99,743x = 47,769,784,969
  5. Step 5: Solve for x
    x = 47,769,784,969/99,743
  6. Step 6: Final answer
    x = 478,928.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.